All categories

2 years ago

Solve the system equations. X+2y=0 10y=-5

Mathematics

1 answer:

nexus9112 [7]2 years ago

5 0

Answer:

x=1

y=-1/2

Step-by-step explanation:

x+2y=0....(1)

10y=-5.....(2)

From (2) we can find y.

y=-5/10

y=-1/2

Use that in (1)

x+2*(-1/2)=0

x-1=0

x=1

You might be interested in

How to find the slope of the line

finlep [7]

Answer:

Get a line of which you want to know the slope. Make sure that the line is straight.

Pick any two coordinates that the line goes through. Coordinates are the x and y points written as ( x, y ).

Pick which point's coordinates are dominant in your equation. ...

Set up the equation using the y-coordinates on top and the x-coordinates on bottom.

4 0

2 years ago

Jamie is buying 5 concert tickets, and he wants his total cost to be no more than $4 Above or below $80. Which inequality models

kumpel [21]

Answer:

Option C $\left|80-5x\right|\le 4$

Step-by-step explanation:

Let

x ----> the cost of the concert ticket

we know that

The total cost to be no more than $4 Above $80

$5x\leq 80+4$

Solve for x

$x\leq \$16.80$

The total cost to be no more than $4 below $80

$5x\geq 80-4$

Solve for x

$5x\geq 76$

$x\geq \$15.2$

therefore

The inequality that represent this problem is

$\left|5x-80\right|\le 4$

Verify

First solution (positive case)

$+(5x-80)\le 4$

$5x\le 80+4$

Solve for x

$x\leq \$16.80$ ----> is ok

Second solution (negative case)

$-(5x-80)\le 4$

Multiply by -1 both sides

$(5x-80)\ge -4$

$5x\geq 80-4$

Solve for x

$5x\geq 76$

$x\geq \$15.2$ ---> is ok

Remember that

$\left|5x-80\right|\le 4$ is equivalent to $\left|80-5x\right|\le 4$

Because is a absolute value

8 0

2 years ago

A playground has the shape of a trapezoid.

Dmitrij [34]

Answer:

short base: 6 yards
long base: 8 yards

Step-by-step explanation:

Our understanding of your figure is shown below.

The question says the "shortest side" and the "width" have the same dimension. If the "width" is a reference to "height 6 yards", then it seems the "shortest side" is 6 yards. Since the slant sides are longer than the height, the "shortest side" is also the "short base."

The short base is 6 yards.

The long base overhangs the short base by 1 yard on either end, so it is a total of 2 yards longer than the short base. It it 6+2 = 8 yards long.

The long base is 8 yards.

6 0

2 years ago

Max is stacking logs at his campground for firewood. After his first load of logs, he has 9 logs on the stack. After his seventh

sleet_krkn [62]

Answer:

D an = 9 + 7(n-1)

Step-by-step explanation:

In the question, Max has 9 logs in the first load. But, after the seventh load he has a total of 51 logs. So the n would be your logs in the stack, which is 51. And since there is a total of 51 logs after the seventh load. It would be 9 plus 7 in parenthesis of 51 minus one, which is 50. So 50 times 7 comes down to 350 plus nine which comes down to a total of 359.

8 0

3 years ago

Read 2 more answers

The rectangular prism has a volume of 936 cubic inches. Write and solve an equation to find the missing dimension of the prism.

nikdorinn [45]

Step-by-step explanation:

A rectangular prism is nothing but a cuboid. Let the length , width and height of the rectangular prism be l, w and h.

We know that volume of a cuboid V = l×w×h

So, l×w×h = 936

So, we can find any dimension of the prism provided the the other two dimensions are given to us.

4 0

2 years ago